Solve the following system of equations:
x = 60 + 4y
7x + 12y = 500
Substitute the first equation into the second equation for x:
7(60 + 4y) + 12y = 500
Distribute the 7:
420 + 28y + 12y = 500
Combine like terms:
40y = 80
Divide by 40:
y = 2
Substitute y = 2 into the first equation for y:
x = 60 + 4(2) = 68
Therefore, the solution to the system of equations is (x,y) = (68,2).